3(x+8)-2(x-6)=14

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Solution for 3(x+8)-2(x-6)=14 equation:


Simplifying
3(x + 8) + -2(x + -6) = 14

Reorder the terms:
3(8 + x) + -2(x + -6) = 14
(8 * 3 + x * 3) + -2(x + -6) = 14
(24 + 3x) + -2(x + -6) = 14

Reorder the terms:
24 + 3x + -2(-6 + x) = 14
24 + 3x + (-6 * -2 + x * -2) = 14
24 + 3x + (12 + -2x) = 14

Reorder the terms:
24 + 12 + 3x + -2x = 14

Combine like terms: 24 + 12 = 36
36 + 3x + -2x = 14

Combine like terms: 3x + -2x = 1x
36 + 1x = 14

Solving
36 + 1x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-36' to each side of the equation.
36 + -36 + 1x = 14 + -36

Combine like terms: 36 + -36 = 0
0 + 1x = 14 + -36
1x = 14 + -36

Combine like terms: 14 + -36 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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